Given numbers are 375,220,844,728,900

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 375,220,844,728,900 is 1900899000.

Find LCM of 375,220,844,728,900 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 5 x 5 x 11 x 211 x 182 x 3 = 1900899000

Therefore, the lowest common multiple of 375,220,844,728,900 is 1900899000.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

375 x 220 x 844 x 728 x 900 = 45621576000000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

375 : 1, 3, 5, 15, 25, 75, 125, 375

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

844 : 1, 2, 4, 211, 422, 844

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,220,844,728,900, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

220:2x 2x 5x 11

844:2x 2x 211

728:2x 2x 2x 7x 13

900:2x 2x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3x 5x 5x 5 = 24000

Therefore, the value for common factors is 24000.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 45621576000000/(1x24000)

LCM = 45621576000000/24000

LCM = 1900899000

Thus, we can understand that the LCM of 375,220,844,728,900 is 1900899000.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 592, 269, 945, 311, 602
• LCM of 326, 212, 979, 437, 981
• LCM of 562, 105, 210, 109, 271
• LCM of 421, 307, 730, 524, 267
• LCM of 289, 499, 962, 651, 343

1. What is the LCM of 375, 220, 844, 728, 900?

Answer: LCM of 375, 220, 844, 728, 900 is 1900899000.

2. How to calculate the LCM of 375, 220, 844, 728, 900?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 375, 220, 844, 728, 900.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.